1 ENSC 895: SPECIAL TOPICS: THEORY, ANALYSIS, AND SIMULATION OF NONLINEAR CIRCUITS Synthesis of Resistive Networks

Synthesis of resistive networks from a given admittance or impedance matrix in the general case is an open problem. The importance of this problem lies in the fact that designers generally need to produce a circuit from a given V-I transfer function. There are two major difficulties involved: analysis and synthesis. Section 1 gives a brief introduction to the synthesis problem. In section2, I will review analytical approaches that determine if a matrix is realizable or not. Following that in section 3, I will present the 2n node realization of conductance matrices. Section 4 briefly reviews computer aided synthesis methods used for solving this problem. I will then present a network synthesizer in Matlab in section 5 and will finally simulate and compare the result of my code with other computational methods. Section 6 presents a brief summary of the work. 1